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Learning path

Understanding Celestial Mechanics & Timekeeping

The exacting mathematics beneath every predicted eclipse, spacecraft trajectory, and star chart — the laws of how bodies fall around one another, and the conventions that pin down where a thing is and when. Built on well-established mechanics and standards; only real constants are stated.

Beginner
  1. 1.1Computing the moving skyThe mathematics beneath every orbit.
  2. 1.2Orbital mechanicsHow bodies move under gravity.
  3. 1.3Kepler's lawsThe three laws behind every orbit.
  4. 1.4TimekeepingThe scales of astronomical time.
Intermediate
  1. 2.1Lagrange pointsThe five gravitational parking spots — home to JWST.
  2. 2.2The Roche limitWhere tides tear a moon into rings.
  3. 2.3Mean-motion resonanceThe Kirkwood gaps and locked moons.
  4. 2.4The leap secondKeeping the clock in step with the spinning Earth.
Advanced
  1. 3.1Reference frames & epochsThe coordinate systems positions are measured against.
  2. 3.2The ICRSThe sky's frame, fixed to distant quasars.
  3. 3.3EphemeridesThe positions of Solar System bodies.
  4. 3.4The JPL Development EphemerisThe standard positions of the planets and Moon.

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